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Finding the Fourth Proportional to 138,199.94, 207,314.73 and 38,360.56

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Solution

The fourth proportional to 138,199.94, 207,314.73 and 38,360.56 is: 57,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,199.94 : 207,314.73 = 38,360.56 : x
  2. Step 2: Convert to fraction form
    138,199.94/207,314.73 = 38,360.56/x
  3. Step 3: Cross multiply
    138,199.94x = 207,314.73 × 38,360.56
  4. Step 4: Simplify right side
    138,199.94x = 7,952,708,620.76
  5. Step 5: Solve for x
    x = 7,952,708,620.76/138,199.94
  6. Step 6: Final answer
    x = 57,544.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.